Alexander Postnikov: 18.315 Combinatorial Theory
This year the course is about combinatorics related to the Grassmannian and flag varieties. The main players are Young tableaux, Schur polynomials and Schubert polynomials, Bruhat order, Littlewood-Richardson rule and its variations, wiring diagrams and reduced decompositions, matroids, the positive Grassmannian and positroids, quantum cohomology of the Grassmannian, quantum Schubert polynomials...

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